Finite Group Databasebeta

← #25974476

Subgroups — #25974476

Order 11008.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148306C211yesmaximal, characteristic, complemented
2#19148263C211yesmaximal, characteristic, complemented
3#19146853C211yesmaximal, characteristic, complemented
4#19146841C211yesmaximal, characteristic, complemented
5#19146825C211yesmaximal, characteristic, complemented
6#19146824C211yesmaximal, characteristic, complemented
7#19146757C211yesmaximal, characteristic, complemented
8#19146745C211yesmaximal, characteristic, complemented
9#19146743C211yesmaximal, characteristic, complemented
10#19146742C211yesmaximal, characteristic, complemented
11#19146721C211yesmaximal, characteristic, complemented
12#19146717C211yesmaximal, characteristic, complemented
13#19146658C211yesmaximal, characteristic, complemented
14#19146657C211yesmaximal, characteristic, complemented
15#19146538C211yesmaximal, characteristic, complemented
16#19146433C211yesmaximal, characteristic, complemented
17#19146432C211yesmaximal, characteristic, complemented
18#19144944C211yesmaximal, characteristic, complemented
19#19144587C211yesmaximal, characteristic, complemented
20#482×D43C211yesmaximal, characteristic, complemented
21#19144443C211yesmaximal, characteristic, complemented
22#19144260C211yesmaximal, characteristic, complemented
23#19144211C211yesmaximal, characteristic, complemented
24#19144129C211yesmaximal, characteristic, complemented
25#19143897C211yesmaximal, characteristic, complemented
26#19143810C211yesmaximal, characteristic, complemented
27#19143473C211yesmaximal, characteristic, complemented
28#19143315C211yesmaximal, characteristic, complemented
29#19143117C211yesmaximal, characteristic, complemented
30#19143110C211yesmaximal, characteristic, complemented
31C43×#3305C211yesmaximal, characteristic, complemented
32C2×#13063371C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic
34C2×#13063349C2211yescharacteristic, complemented
35C2×#13063346C2211yescharacteristic
36C2×#13063344C2211yescharacteristic, complemented
37C2×#13063331C2211yescharacteristic, complemented
38C22×#10621872C2211yescharacteristic, complemented
39#14583623C2211yescharacteristic, complemented
40#14583618—21no—
41#14583617C2211yescharacteristic, complemented
42#14583613C2211yescharacteristic, complemented
43#14583611—21no—
44#14583601C2211yescharacteristic, complemented
45#14583599C2211yescharacteristic, complemented
46#14583592—21no—
47#14583589C2211yescharacteristic, complemented
48#14583588C2211yescharacteristic, complemented
49#14583582—21no—
50#14583568C2211yescharacteristic
51#14583561C2211yescharacteristic
52#14583556C2211yescharacteristic
53#14583546—21no—
54#14583546C2211yescharacteristic
55#14583545—21no—
56#14583545C2211yescharacteristic
57#14583534—21no—
58#14583534C2211yescharacteristic
59#14583533—21no—
60#14583533C2211yescharacteristic
61#14583526C2211yescharacteristic, complemented
62#14583483—21no—
63#14583481—21no—
64#14583478—21no—
65#14583478C2211yescharacteristic
66#14583478C2211yescharacteristic, complemented
67#14583462—21no—
68#14583462C2211yescharacteristic
69#14583428—21no—
70#14583427—21no—
71#14583409C2211yescharacteristic, complemented
72#14583408—21no—
73#14583408C2211yescharacteristic
74#121×D43—21no—
75#121×D43C2211yescharacteristic
76#14583381C2211yescharacteristic
77#14583379C2211yescharacteristic, complemented
78#14583378C2211yescharacteristic, complemented
79#117×D43C2211yescharacteristic, complemented
80#14583263C2211yescharacteristic, complemented
81#14583262C2211yescharacteristic, complemented
82#14583261C2211yescharacteristic, complemented
83#14583257C2211yescharacteristic, complemented
84#14583254C2211yescharacteristic, complemented
85#14583252C2211yescharacteristic, complemented
86#14583244C2211yescharacteristic, complemented
87#14583242C2211yescharacteristic, complemented
88#14583240C2211yescharacteristic, complemented
89#14583231C2211yescharacteristic, complemented
90#14583230C2211yescharacteristic, complemented
91#14583226C2211yescharacteristic, complemented
92#14583225C2211yescharacteristic, complemented
93#14583224C2211yescharacteristic, complemented
94#14583223C2211yescharacteristic, complemented
95#14583222C2211yescharacteristic, complemented
96#14583222C2211yescharacteristic, complemented
97#14583221C2211yescharacteristic, complemented
98#14583220C2211yescharacteristic, complemented
99#14583216C2211yescharacteristic, complemented
100#14583215C2211yescharacteristic, complemented
101#14583206C2211yescharacteristic, complemented
102#14583204C2211yescharacteristic, complemented
103#14583202C2211yescharacteristic, complemented
104#14583200C2211yescharacteristic, complemented
105#14583192C2211yescharacteristic, complemented
106#14583178C2211yescharacteristic, complemented
107#14583176C2211yescharacteristic, complemented
108#14583151C2211yescharacteristic, complemented
109#14583149C2211yescharacteristic, complemented
110#14583146C2211yescharacteristic, complemented
111#14583144C2211yescharacteristic, complemented
112#14583144C2211yescharacteristic, complemented
113#14583144C2211yescharacteristic, complemented
114#14583143C2211yescharacteristic, complemented
115#14583143C2211yescharacteristic, complemented
116#14583141C2211yescharacteristic, complemented
117#14583140C2211yescharacteristic, complemented
118#14583133C2211yescharacteristic, complemented
119#14583132C2211yescharacteristic, complemented
120#14583128C2211yescharacteristic, complemented
121#14583126C2211yescharacteristic, complemented
122#14583122C2211yescharacteristic, complemented
123#14583120C2211yescharacteristic, complemented
124#14583114C2211yescharacteristic, complemented
125#14583112C2211yescharacteristic, complemented
126#14583098C2211yescharacteristic, complemented
127#14583096C2211yescharacteristic, complemented
128#14583092C2211yescharacteristic, complemented
129#14583064C2211yescharacteristic, complemented
130#14583063C2211yescharacteristic, complemented
131#14583061C2211yescharacteristic, complemented
132#14583061C2211yescharacteristic, complemented
133#14583056C2211yescharacteristic, complemented
134#14583052C2211yescharacteristic, complemented
135#14583051C2211yescharacteristic, complemented
136#14583051C2211yescharacteristic, complemented
137#14583043C2211yescharacteristic, complemented
138#14583042C2211yescharacteristic, complemented
139#14583036C2211yescharacteristic, complemented
140#14583032C2211yescharacteristic, complemented
141#14583031C2211yescharacteristic, complemented
142#14583031C2211yescharacteristic, complemented
143#14583009C2211yescharacteristic, complemented
144#14583008C2211yescharacteristic, complemented
145#14583004C2211yescharacteristic, complemented
146#14583003C2211yescharacteristic, complemented
147C4×#10621873C2211yescharacteristic, complemented
148SD16×Dic43C2211yescharacteristic, complemented
149#14582986C2211yescharacteristic, complemented
150#14582978C2211yescharacteristic, complemented
151#14582974C2211yescharacteristic, complemented
152#14582971C2211yescharacteristic, complemented
153#14582970C2211yescharacteristic, complemented
154#14582970C2211yescharacteristic, complemented
155#14582969C2211yescharacteristic, complemented
156(C22⋊D43)⋊C8C2211yescharacteristic, complemented
157#14582940C2211yescharacteristic, complemented
158#107×D43C2211yescharacteristic, complemented
159#106×D43C2211yescharacteristic, complemented
160#14582924C2211yescharacteristic, complemented
161#14582906C2211yescharacteristic, complemented
162#14582906C2211yescharacteristic, complemented
163#14582903C2211yescharacteristic, complemented
164#14582902C2211yescharacteristic, complemented
165#14582902C2211yescharacteristic, complemented
166#14582902C2211yescharacteristic, complemented
167#14582902C2211yescharacteristic, complemented
168#14582900C2211yescharacteristic, complemented
169#14582899C2211yescharacteristic
170#14582899C2211yescharacteristic
171#14582899C2211yescharacteristic, complemented
172#14582897C2211yescharacteristic, complemented
173#14582897C2211yescharacteristic, complemented
174#14582897C2211yescharacteristic, complemented
175#14582896C2211yescharacteristic, complemented
176#14582895C2211yescharacteristic, complemented
177#14582894C2211yescharacteristic
178#14582894C2211yescharacteristic, complemented
179#14582893C2211yescharacteristic, complemented
180#14582892C2211yescharacteristic, complemented
181C2×#13063247C2211yescharacteristic, complemented
182#102×D43C2211yescharacteristic, complemented
183#102×D43C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic, complemented
185#14582864C2211yescharacteristic, complemented
186C22⋊C8×D43C2211yescharacteristic, complemented
187#14582853C2211yescharacteristic, complemented
188C43×#555C2211yescharacteristic, complemented
189C43×#550C2211yescharacteristic
190C43×#486C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic, complemented
193C43×#477C2211yescharacteristic, complemented
194C43×#466C2211yescharacteristic, complemented
195C43×#466C2211yescharacteristic, complemented
196C43×#459C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic, complemented
198C43×#449C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C8×D4×C43C2211yescharacteristic, complemented
201C43×#416C2211yescharacteristic, complemented
202C43×#416C2211yescharacteristic, complemented
203#13063371—24no—
204#13063371—42no—
205C2×#10621902C2311yescharacteristic
206C2×#10621902C2311yescharacteristic
207C2×#10621898—21no—
208C2×#10621898—21no—
209C2×#10621898C2311yescharacteristic
210C2×#10621898C2311yescharacteristic
211C2×#10621900—21no—
212C2×#10621900C2311yescharacteristic
213C2×#10621900C2311yescharacteristic
214#41×D43—24no—
215#41×D43—42no—
216C2×Q8×D43C2311yescharacteristic
217C22×D172—21no—
218C22×D172C2311yescharacteristic
219C2×D4×D43—21no—
220C2×D4×D43—21no—
221C2×D4×D43—21no—
222C2×D4×D43—21no—
223C2×D4×D43—21no—
224C2×D4×D43—21no—
225C2×D4×D43C2311yescharacteristic
226C2×D4×D43C2311yescharacteristic
227C2×D4×D43C2311yescharacteristic
228C22×C4×D43—21no—
229C22×C4×D43C2311yescharacteristic
230#13063349—42no—
231#13063346—24no—
232#13063344—42no—
233C2×Dic172C2311yescharacteristic
234C2×#10621885C2311yescharacteristic
235C2×#10621873C2311yescharacteristic
236C2×#10621873C2311yescharacteristic
237C2×#10621883C2311yescharacteristic
238C2×#10621883C2311yescharacteristic
239C2×#10621883C2311yescharacteristic
240C2×#10621882C2311yescharacteristic
241C2×#10621882C2311yescharacteristic
242#13063331—42no—
243C2×#10621877C2311yescharacteristic
244C2×#10621872—42no—
245C2×#10621872C2311yescharacteristic
246C2×#10621872C2311yescharacteristic
247C2×#10621872C2311yescharacteristic
248C2×#10621872C2311yescharacteristic
249C2×#10621872C2311yescharacteristic
250C22×C43⋊C8C2311yescharacteristic
251C2×C8×D43C2311yescharacteristic
252C2×C8×D43C2311yescharacteristic
253C2×C8×D43C2311yescharacteristic
254#13063324C2311yescharacteristic
255#13063323—21no—
256#13063321—21no—
257#13063321C2311yescharacteristic
258#13063320—21no—
259#13063320—21no—
260#13063319—21no—
261#13063318—21no—
262#13063318—21no—
263#13063318—21no—
264#13063318—21no—
265#13063318—21no—
266#13063317—21no—
267#13063317C2311yescharacteristic
268#13063316C2311yescharacteristic
269#13063315—21no—
270#13063315—21no—
271#13063314—21no—
272#13063313—21no—
273#13063313C2311yescharacteristic
274#13063312—21no—
275#13063312—21no—
276#13063312C2311yescharacteristic
277#13063311—21no—
278#13063311—21no—
279#13063310—21no—
280#13063310D411yescharacteristic
281#13063309—21no—
282#13063308—21no—
283#13063307—21no—
284#13063307—21no—
285#13063307—21no—
286#13063307D411yescharacteristic
287#13063306—21no—
288#13063305—21no—
289#13063305C2311yescharacteristic
290#13063305C2311yescharacteristic
291#13063305C2311yescharacteristic
292#13063304—21no—
293#13063304C2311yescharacteristic
294#13063304C2311yescharacteristic
295#13063304C2311yescharacteristic
296#13063303—21no—
297#13063303D411yescharacteristic
298#13063302—21no—
299#13063302—21no—
300#13063302D411yescharacteristic
301#13063301—21no—
302#13063300—21no—
303#13063300C2311yescharacteristic
304#13063299—21no—
305#13063299C2311yescharacteristic
306#13063298—21no—
307#13063298—21no—
308#13063298—21no—
309#13063298—21no—
310#13063298—21no—
311#13063298—21no—
312#13063298D411yescharacteristic
313#13063297—21no—
314#13063297—21no—
315#13063297—21no—
316#13063297—21no—
317#13063297—21no—
318#13063297—21no—
319#13063297—21no—
320#13063297D411yescharacteristic
321#13063296—21no—
322#13063296—21no—
323#13063296—21no—
324#13063296—21no—
325#13063296—21no—
326#13063296—21no—
327#13063296C2311yescharacteristic
328#13063296C2311yescharacteristic
329#13063296C2311yescharacteristic
330#13063296C2311yescharacteristic
331#13063295—21no—
332#13063295D411yescharacteristic
333#13063293—21no—
334#13063293—21no—
335#13063293—21no—
336#13063293—21no—
337#13063293—21no—
338#13063293—21no—
339#13063293—21no—
340#13063293—21no—
341#13063293D411yescharacteristic
342Q8×Dic43—21no—
343Q8×Dic43C2311yescharacteristic
344C4×Dic86—21no—
345C4×Dic86—21no—
346C4×Dic86C2311yescharacteristic
347#13063290C2311yescharacteristic
348C4×D172—21no—
349C4×D172—21no—
350C4×D172—21no—
351C4×D172C2311yescharacteristic
352C4×D172C2311yescharacteristic
353D4×Dic43—21no—
354D4×Dic43—21no—
355D4×Dic43C2311yescharacteristic
356#13063287—21no—
357#13063287C2311yescharacteristic
358C4×C22⋊D43—21no—
359C4×C22⋊D43—21no—
360C4×C22⋊D43—21no—
361C4×C22⋊D43—21no—
362C4×C22⋊D43C2311yescharacteristic
363C4×C22⋊D43C2311yescharacteristic
364(C22⋊D43)⋊C4—21no—
365(C22⋊D43)⋊C4—21no—
366(C22⋊D43)⋊C4—21no—
367(C22⋊D43)⋊C4—21no—
368#13063284C2311yescharacteristic
369#13063283C2311yescharacteristic
370#13063283C2311yescharacteristic
371#13063283C2311yescharacteristic
372#13063283C2311yescharacteristic
373#13063282—21no—
374#13063282—21no—
375#13063282—21no—
376#13063282C2311yescharacteristic
377#13063281—21no—
378#13063281—21no—
379#13063281—21no—
380#13063281—21no—
381C2×C4⋊Dic43C2311yescharacteristic
382C2×Dic43⋊C4—21no—
383C4⋊C4×D43—21no—
384C4⋊C4×D43C2311yescharacteristic
385C4⋊C4×D43C2311yescharacteristic
386C4⋊C4×D43C2311yescharacteristic
387C4⋊C4×D43C2311yescharacteristic
388C22⋊C4×D43—21no—
389C22⋊C4×D43—21no—
390C22⋊C4×D43—21no—
391C22⋊C4×D43—21no—
392C42×D43—21no—
393#13063259C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063245C2311yescharacteristic
430#13063245C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441#13063236C2311yescharacteristic
442#13063235C2311yescharacteristic
443C8×Dic43C2311yescharacteristic
444C2×#41×C43C2311yescharacteristic
445C2×#41×C43C2311yescharacteristic
446C2×SD16×C43C2311yescharacteristic
447C2×D8×C43C2311yescharacteristic
448C2×D8×C43C2311yescharacteristic
449C22×C8×C43C2311yescharacteristic
450C22×C8×C43C2311yescharacteristic
451C4⋊Q8×C43C2311yescharacteristic
452#127×C43—21no—
453#127×C43C2311yescharacteristic
454#124×C43—21no—
455#124×C43—21no—
456#121×C43—21no—
457#121×C43—21no—
458#121×C43—21no—
459#121×C43C2311yescharacteristic
460#121×C43C2311yescharacteristic
461#121×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463C4×Q8×C43C2311yescharacteristic
464C4×D4×C43—21no—
465C4×D4×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467#117×C43—21no—
468#117×C43C2311yescharacteristic
469#117×C43C2311yescharacteristic
470#107×C43C2311yescharacteristic
471#107×C43C2311yescharacteristic
472#106×C43C2311yescharacteristic
473C4⋊C8×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484C22⋊C8×C43C2311yescharacteristic
485C22⋊C8×C43C2311yescharacteristic
486C4×C8×C43C2311yescharacteristic
487C23×D43—21no—
488C23×D43—21no—
489C23×D43—21no—
490C23×D43—21no—
491C23×D43C2×D411yescharacteristic
492#41×C43—22no—
493#41×C43—22no—
494#41×C43—41no—
495#41×C43—41no—
496C2×Q8×C43—21no—
497C2×Q8×C43C2411yescharacteristic
498C2×D4×C43—21no—
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43—21no—
502C2×D4×C43—21no—
503C2×D4×C43—21no—
504C2×D4×C43—21no—
505C2×D4×C43—21no—
506C2×D4×C43C2×D411yescharacteristic
507C2×D4×C43C2411yescharacteristic
508C2×D4×C43C2411yescharacteristic
509C2×D4×C43C2411yescharacteristic
510C22×C4×C43—21no—
511C22×C4×C43—21no—
512C22×C4×C43—21no—
513C22×C4×C43C2411yescharacteristic
514C22×C4×C43C2411yescharacteristic
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43C2×D411yescharacteristic
529C2×C22⋊D43C2×D411yescharacteristic
530C2×C22⋊D43C2×D411yescharacteristic
531C2×C22⋊D43C2×D411yescharacteristic
532C22×Dic43—21no—
533C22×Dic43—21no—
534C22×Dic43—21no—
535C22×Dic43—21no—
536C22×Dic43C2×D411yescharacteristic
537#10621902—22no—
538#10621902—22no—
539#10621902—41no—
540#10621902#4114yes—
541Q8×D43—22no—
542Q8×D43—41no—
543#10621900—22no—
544#10621900—22no—
545#10621900—22no—
546#10621900—22no—
547#10621900—44no—
548D4×D43—22no—
549D4×D43—22no—
550D4×D43—22no—
551D4×D43—22no—
552D4×D43—44no—
553D4×D43—41no—
554D4×D43—41no—
555D4×D43—44no—
556D4×D43—44no—
557D4×D43—82no—
558D4×D43—82no—
559D4×D43—82no—
560#10621898—22no—
561#10621898—22no—
562#10621898—22no—
563#10621898—44no—
564#10621898—41no—
565#10621898—44no—
566C2×D172—21no—
567C2×D172—21no—
568C2×D172—21no—
569C2×D172—21no—
570C2×D172—22no—
571C2×D172—41no—
572C2×D172—44no—
573C2×D172C2×D411yescharacteristic
574C2×D172C2×D411yescharacteristic
575C2×D172C2411yescharacteristic
576C2×D172C2411yescharacteristic
577C2×C4×D43—21no—
578C2×C4×D43—22no—
579C2×C4×D43—22no—
580C2×C4×D43—21no—
581C2×C4×D43—21no—
582C2×C4×D43—21no—
583C2×C4×D43—21no—
584C2×C4×D43—21no—
585C2×C4×D43—21no—
586C2×C4×D43—21no—
587C2×C4×D43—21no—
588C2×C4×D43—21no—
589C2×C4×D43—44no—
590C2×C4×D43C2×D411yescharacteristic
591C2×C4×D43C2×D411yescharacteristic
592C2×C4×D43C2411yescharacteristic
593C2×C4×D43C2411yescharacteristic
594C2×C4×D43C2411yescharacteristic
595C2×Dic86—21no—
596C2×Dic86—21no—
597C2×Dic86C2×D411yescharacteristic
598C2×Dic86C2411yescharacteristic
599C2×Dic86C2411yescharacteristic
600SD16×C43—22no—
601D8×C43—41no—
602D8×C43—41no—
603C2×C8×C43—41no—
604C2×C8×C43—41no—
605C2×C8×C43C2411yescharacteristic
606C2×C8×C43C2411yescharacteristic
607C2×C8×C43C2411yescharacteristic
608C2×C8×C43C2411yescharacteristic
609C4⋊C4×C43—21no—
610C4⋊C4×C43—21no—
611C4⋊C4×C43C2×D411yescharacteristic
612C4⋊C4×C43C2411yescharacteristic
613C4⋊C4×C43C2411yescharacteristic
614C4⋊C4×C43C2411yescharacteristic
615C4⋊C4×C43C2411yescharacteristic
616C22⋊C4×C43—21no—
617C22⋊C4×C43—21no—
618C22⋊C4×C43—21no—
619C22⋊C4×C43—21no—
620C22⋊C4×C43—21no—
621C22⋊C4×C43—21no—
622C22⋊C4×C43—21no—
623C22⋊C4×C43C2×D411yescharacteristic
624C22⋊C4×C43C2×D411yescharacteristic
625C42×C43—21no—
626C42×C43—21no—
627C42×C43—21no—
628C42×C43C2411yescharacteristic
629C22⋊Dic43—21no—
630C22⋊Dic43—21no—
631C22⋊Dic43—21no—
632C22⋊Dic43—21no—
633C22⋊Dic43—21no—
634C22⋊Dic43—21no—
635C22⋊Dic43—21no—
636C22⋊Dic43—21no—
637C22⋊Dic43—21no—
638C22⋊Dic43—21no—
639C22⋊Dic43—21no—
640C22⋊Dic43C2×D411yescharacteristic
641C22⋊Dic43C2×D411yescharacteristic
642#10621885—22no—
643#10621883—41no—
644#10621883—41no—
645#10621883—41no—
646#10621882—22no—
647#10621882—41no—
648(C2×D43)⋊C4—21no—
649(C2×D43)⋊C4—21no—
650(C2×D43)⋊C4—21no—
651(C2×D43)⋊C4—21no—
652(C2×D43)⋊C4—21no—
653(C2×D43)⋊C4—21no—
654(C2×D43)⋊C4—21no—
655(C2×D43)⋊C4—21no—
656(C2×D43)⋊C4—21no—
657(C2×D43)⋊C4—21no—
658(C2×D43)⋊C4—21no—
659(C2×D43)⋊C4—21no—
660(C2×D43)⋊C4—21no—
661(C2×D43)⋊C4C2×D411yescharacteristic
662(C2×D43)⋊C4C2×D411yescharacteristic
663(C2×D43)⋊C4C2×D411yescharacteristic
664(C2×D43)⋊C4C2×D411yescharacteristic
665(C2×D43)⋊C4C2×D411yescharacteristic
666(C2×D43)⋊C4C2×D411yescharacteristic
667C4⋊Dic43—21no—
668C4⋊Dic43—21no—
669C4⋊Dic43—21no—
670C4⋊Dic43—21no—
671C4⋊Dic43—21no—
672C4⋊Dic43—21no—
673C4⋊Dic43C2×D411yescharacteristic
674C4⋊Dic43C2411yescharacteristic
675C4⋊Dic43C2411yescharacteristic
676C4⋊Dic43C2411yescharacteristic
677C4⋊Dic43C2411yescharacteristic
678Dic43⋊C4—21no—
679Dic43⋊C4—21no—
680Dic43⋊C4—21no—
681Dic43⋊C4—21no—
682Dic43⋊C4—21no—
683Dic43⋊C4—21no—
684Dic43⋊C4—21no—
685Dic43⋊C4—21no—
686Dic43⋊C4—21no—
687Dic43⋊C4—21no—
688Dic43⋊C4—21no—
689Dic43⋊C4—21no—
690Dic43⋊C4—21no—
691Dic43⋊C4C2×D411yescharacteristic
692Dic43⋊C4C2×D411yescharacteristic
693Dic43⋊C4C2×D411yescharacteristic
694Dic43⋊C4C2×D411yescharacteristic
695C4×Dic43—21no—
696C4×Dic43—21no—
697C4×Dic43—21no—
698C4×Dic43—21no—
699C4×Dic43—21no—
700C4×Dic43—21no—
701C4×Dic43—21no—
702C4×Dic43—21no—
703C4×Dic43C2411yescharacteristic
704#10621877—41no—
705C2×C43⋊C8—41no—
706C2×C43⋊C8C2411yescharacteristic
707C2×C43⋊C8C2411yescharacteristic
708C2×C43⋊C8C2411yescharacteristic
709C2×C43⋊C8C2411yescharacteristic
710Dic172—41no—
711#10621873—22no—
712#10621873—41no—
713#10621872—22no—
714#10621872—22no—
715#10621872—41no—
716#10621872—41no—
717#10621872—41no—
718C8×D43—22no—
719C8×D43—22no—
720C8×D43—41no—
721C23×C43—21no—
722C23×C43—21no—
723C23×C43—21no—
724C23×C43C22×D411yescharacteristic
725C23×C43C22×D411yescharacteristic
726C22×D43—21no—
727C22×D43—22no—
728C22×D43—21no—
729C22×D43—41no—
730C22×D43—41no—
731C22×D43—42no—
732C22×D43—42no—
733C22×D43—42no—
734C22×D43—42no—
735C22×D43—42no—
736C22×D43—81no—
737C22×D43—81no—
738C22×D43—81no—
739C22×D43—81no—
740C22×D43—81no—
741C22×D43—81no—
742C22×D43—81no—
743C22×D43C22×D411yescharacteristic
744C22×D43C22×D411yescharacteristic
745C22×D43C22×D411yescharacteristic
746Q8×C43—21no—
747Q8×C43—81no—
748Q8×C43C2×#4112yes—
749D4×C43—21no—
750D4×C43—21no—
751D4×C43—21no—
752D4×C43—21no—
753D4×C43—21no—
754D4×C43—21no—
755D4×C43—41no—
756D4×C43—42no—
757D4×C43—42no—
758D4×C43—81no—
759D4×C43—81no—
760D4×C43—81no—
761D4×C43—81no—
762D4×C43—81no—
763D4×C43—81no—
764C2×C4×C43—21no—
765C2×C4×C43—21no—
766C2×C4×C43—21no—
767C2×C4×C43—21no—
768C2×C4×C43—21no—
769C2×C4×C43—21no—
770C2×C4×C43—21no—
771C2×C4×C43—21no—
772C2×C4×C43—21no—
773C2×C4×C43—42no—
774C2×C4×C43—42no—
775C2×C4×C43—81no—
776C2×C4×C43C22×D411yescharacteristic
777C2×C4×C43C22×D411yescharacteristic
778C2×C4×C43C22×D411yescharacteristic
779C2×C4×C43C22×D411yescharacteristic
780C2×C4×C43C2511yescharacteristic
781C22⋊D43—22no—
782C22⋊D43—22no—
783C22⋊D43—41no—
784C22⋊D43—41no—
785C22⋊D43—42no—
786C22⋊D43—42no—
787C22⋊D43—42no—
788C22⋊D43—42no—
789C22⋊D43—42no—
790C22⋊D43—42no—
791C22⋊D43—42no—
792C22⋊D43—81no—
793C22⋊D43—81no—
794C22⋊D43—81no—
795C22⋊D43—81no—
796C22⋊D43—81no—
797C22⋊D43—81no—
798C2×Dic43—22no—
799C2×Dic43—21no—
800C2×Dic43—21no—
801C2×Dic43—21no—
802C2×Dic43—21no—
803C2×Dic43—21no—
804C2×Dic43—21no—
805C2×Dic43—42no—
806C2×Dic43—42no—
807C2×Dic43—81no—
808C2×Dic43—81no—
809C2×Dic43C22×D411yescharacteristic
810C2×Dic43C22×D411yescharacteristic
811C2×Dic43C22×D411yescharacteristic
812C2×Dic43C22×D411yescharacteristic
813C2×Dic43C22×D411yescharacteristic
814D172—24no—
815D172—22no—
816D172—21no—
817D172—21no—
818D172—21no—
819D172—41no—
820D172—42no—
821D172—42no—
822D172—42no—
823D172C2×#4112yes—
824C4×D43—22no—
825C4×D43—21no—
826C4×D43—21no—
827C4×D43—21no—
828C4×D43—21no—
829C4×D43—22no—
830C4×D43—24no—
831C4×D43—42no—
832C4×D43—42no—
833C4×D43—42no—
834C4×D43—81no—
835C4×D43—81no—
836C4×D43—81no—
837C4×D43—81no—
838C4×D43—81no—
839C4×D43—81no—
840C4×D43C2×#4112yes—
841C4×D43H(5,𝔽2)12yes—
842Dic86—22no—
843Dic86—21no—
844Dic86—21no—
845Dic86—21no—
846Dic86—21no—
847Dic86—42no—
848Dic86—81no—
849C8×C43—21no—
850C8×C43—21no—
851C8×C43—21no—
852C8×C43—21no—
853C43⋊C8—21no—
854C43⋊C8—21no—
855C43⋊C8—21no—
856C43⋊C8—21no—
857#61196—431nomaximal, Sylow
858C22×C43—21no—
859C22×C43—21no—
860C22×C43—21no—
861C22×C43—21no—
862C22×C43—21no—
863C22×C43—21no—
864C22×C43—41no—
865C22×C43—41no—
866C22×C43—41no—
867C22×C43—41no—
868C22×C43—41no—
869C22×C43—41no—
870C22×C43—41no—
871C22×C43—41no—
872C22×C43—41no—
873C22×C43C23×D411yescharacteristic
874C2×D43—21no—
875C2×D43—21no—
876C2×D43—21no—
877C2×D43—21no—
878C2×D43—21no—
879C2×D43—21no—
880C2×D43—21no—
881C2×D43—22no—
882C2×D43—21no—
883C2×D43—41no—
884C2×D43—41no—
885C2×D43—41no—
886C2×D43—41no—
887C2×D43—41no—
888C2×D43—82no—
889C2×D43—84no—
890C2×D43—162no—
891C2×D43—162no—
892C2×D43—162no—
893C2×D43#54612yes—
894C4×C43—21no—
895C4×C43—21no—
896C4×C43—21no—
897C4×C43—22no—
898C4×C43—21no—
899C4×C43—41no—
900C4×C43—41no—
901C4×C43—41no—
902C4×C43—41no—
903C4×C43C22×#4111yescharacteristic
904C4×C43C2×H(5,𝔽2)11yescharacteristic
905Dic43—21no—
906Dic43—21no—
907Dic43—21no—
908Dic43—21no—
909Dic43—41no—
910Dic43—41no—
911Dic43—41no—
912Dic43—41no—
913Dic43—41no—
914Dic43—41no—
915Dic43#54612yes—
916#3493—431no—
917#3488—431no—
918#3326—431no—
919#3326—431no—
920#3324—431no—
921#3324—431no—
922#3319—431no—
923#3319—431no—
924#3318—431no—
925#3318—431no—
926#3317—431no—
927#3317—431no—
928#3313—431no—
929#3313—431no—
930#3305—431no—
931#3305D4311yescharacteristic, complemented
932#3296—431no—
933#3296—431no—
934#3136—431no—
935#3099—431no—
936C2×#482—431no—
937#3083—431no—
938#3061—431no—
939#3055—431no—
940#3045—431no—
941#3012—431no—
942#3002—431no—
943#2952—431no—
944#2933—431no—
945#2897—431no—
946#2896—431no—
947C2×C43—41no—
948C2×C43—41no—
949C2×C43—81no—
950C2×C43—81no—
951C2×C43—81no—
952C2×C43C2×#54611yescharacteristic
953C2×C43#358411yescharacteristic
954C2×C43#358511yescharacteristic
955D43—22no—
956D43—41no—
957D43—41no—
958D43—42no—
959D43—81no—
960C2×H(5,𝔽2)—431no—
961C22×#41—431no—
962C2×AGL(1,ℤ/8)—431no—
963C2×#135—431no—
964C2×#135—431no—
965C2×#131—431no—
966C22×M16—431no—
967#556—431no—
968#556—431no—
969#556—861no—
970#555—431no—
971#555—861no—
972#555C2×D4311yescharacteristic, complemented
973#553—431no—
974#553—431no—
975#553—861no—
976#552—431no—
977#552—431no—
978#552—861no—
979#550—431no—
980#550C2×D4311yescharacteristic
981#548—431no—
982#548—431no—
983#546—431no—
984#546—431no—
985#546—861no—
986#546—861no—
987D42—431no—
988D42—431no—
989D42—861no—
990D42—861no—
991#544—431no—
992#538—861no—
993#538—861no—
994#537—431no—
995#537—431no—
996#537—861no—
997#535—431no—
998#535—861no—
999#529—861no—
1000#529—861no—
1001#525—431no—
1002#525—431no—
1003#525—861no—
1004C2×#121—431no—
1005C2×#121—861no—
1006#520—431no—
1007#520—431no—
1008#520—431no—
1009C2×#117—431no—
1010#490—431no—
1011#490—431no—
1012#489—431no—
1013#489—431no—
1014#488—431no—
1015#488—431no—
1016#486—431no—
1017#486C2×D4311yescharacteristic, complemented
1018#485—431no—
1019#485—431no—
1020#483—431no—
1021#483—431no—
1022#482—431no—
1023#482—431no—
1024#482—431no—
1025#482—431no—
1026#482—431no—
1027#482—431no—
1028#482—431no—
1029#482—431no—
1030#482C2×D4311yescharacteristic, complemented
1031#482C2×D4311yescharacteristic, complemented
1032#481—431no—
1033#481—431no—
1034#479—431no—
1035#479—431no—
1036#478—431no—
1037#478—431no—
1038#477—431no—
1039#477C2×D4311yescharacteristic, complemented
1040#474—431no—
1041#474—431no—
1042#469—431no—
1043#469—431no—
1044#468—431no—
1045#468—431no—
1046#468—431no—
1047#468—431no—
1048#468—431no—
1049#468—431no—
1050#467—431no—
1051#467—431no—
1052#466—431no—
1053#466—431no—
1054#466C2×D4311yescharacteristic, complemented
1055#466C2×D4311yescharacteristic, complemented
1056#465—431no—
1057#465—431no—
1058#464—431no—
1059#464—431no—
1060#463—431no—
1061#463—431no—
1062#460—431no—
1063#460—431no—
1064#459—431no—
1065#459C2×D4311yescharacteristic, complemented
1066#452—431no—
1067#452—431no—
1068#452—431no—
1069#452—431no—
1070#451—431no—
1071#450—431no—
1072#450—431no—
1073#450—431no—
1074#449—431no—
1075#449—431no—
1076#449C2×D4311yescharacteristic, complemented
1077#449C2×D4311yescharacteristic, complemented
1078#448—431no—
1079#447—431no—
1080#447—431no—
1081#447—431no—
1082#442—431no—
1083#442—431no—
1084#441—431no—
1085#441—431no—
1086C4×SD16—431no—
1087C4×SD16—431no—
1088C4×SD16—431no—
1089C4×SD16C2×D4311yescharacteristic, complemented
1090#436—431no—
1091#436—431no—
1092#435—431no—
1093#435—431no—
1094#435—431no—
1095#435—431no—
1096C8×D4—431no—
1097C8×D4C2×D4311yescharacteristic, complemented
1098#428—431no—
1099C2×#107—431no—
1100C2×#106—431no—
1101#424—431no—
1102#419—431no—
1103#419—431no—
1104#418—431no—
1105#418—431no—
1106#418—431no—
1107#418—431no—
1108#418—431no—
1109#417—431no—
1110#417—431no—
1111#417—431no—
1112#417—431no—
1113#417—431no—
1114#417—431no—
1115#417—431no—
1116#416—431no—
1117#416—431no—
1118#416—431no—
1119#416—431no—
1120#416—431no—
1121#416—431no—
1122#416C2×D4311yescharacteristic, complemented
1123#416C2×D4311yescharacteristic, complemented
1124C2×#102—431no—
1125C2×#102—431no—
1126C2×#102—431no—
1127C2×#102—431no—
1128#408—431no—
1129C2×C22⋊C8—431no—
1130#405—431no—
1131C43#6119611yescharacteristic, complemented, Sylow
1132H(5,𝔽2)—864no—
1133H(5,𝔽2)—1722no—
1134C2×#41—431no—
1135C2×#41—431no—
1136C2×#41—431no—
1137C2×#41—431no—
1138C2×#41—431no—
1139C2×#41—431no—
1140C2×#41—861no—
1141C2×#41—861no—
1142C2×#41—861no—
1143C2×#41—864no—
1144C2×#41—1722no—
1145C2×#41C22×D4311yescharacteristic
1146C2×#41C22×D4311yescharacteristic
1147C22×Q8—431no—
1148C22×D4—431no—
1149C22×D4—431no—
1150C22×D4—431no—
1151C22×D4—431no—
1152C22×D4—861no—
1153C22×D4—861no—
1154C22×D4—861no—
1155C22×D4—861no—
1156C22×D4—861no—
1157C22×D4—861no—
1158C22×D4—861no—
1159C23×C4—431no—
1160C23×C4—861no—
1161AGL(1,ℤ/8)—1722no—
1162#135—864no—
1163#135—1722no—
1164C2×Q16—431no—
1165C2×Q16—431no—
1166C2×SD16—431no—
1167C2×SD16—431no—
1168C2×SD16—431no—
1169C2×SD16—431no—
1170C2×SD16—431no—
1171C2×SD16C22×D4311yescharacteristic
1172C2×D8—431no—
1173C2×D8—431no—
1174C2×D8C22×D4311yescharacteristic
1175C2×D8C22×D4311yescharacteristic
1176#131—1722no—
1177C2×M16—431no—
1178C2×M16—431no—
1179C2×M16—431no—
1180C2×M16—431no—
1181C2×M16—431no—
1182C2×M16—431no—
1183C2×M16—1722no—
1184C22×C8—431no—
1185C22×C8—431no—
1186C22×C8—431no—
1187C22×C8—431no—
1188C22×C8C22×D4311yescharacteristic
1189C22×C8C22×D4311yescharacteristic
1190C4⋊Q8—431no—
1191C4⋊Q8—861no—
1192C4⋊Q8C22×D4311yescharacteristic
1193#127—21no—
1194#127—431no—
1195#127—861no—
1196#127C22×D4311yescharacteristic
1197#126—861no—
1198#126—861no—
1199#126—861no—
1200#126—861no—
1201#126—861no—
1202#126—861no—
1203#126—861no—
1204#126—861no—
1205#125—431no—
1206#125—431no—
1207#125—861no—
1208#125—861no—
1209#125—861no—
1210#124—21no—
1211#124—21no—
1212#124—431no—
1213#124—431no—
1214#124—861no—
1215#124—861no—
1216#124—861no—
1217#124—861no—
1218#124—861no—
1219#124—861no—
1220#123—431no—
1221#123—431no—
1222#123—861no—
1223#123—861no—
1224#123—861no—
1225#123—861no—
1226#123—861no—
1227#123—861no—
1228#123—861no—
1229C22⋊Q8—431no—
1230C22⋊Q8—431no—
1231C22⋊Q8—431no—
1232C22⋊Q8—431no—
1233C22⋊Q8—431no—
1234C22⋊Q8—431no—
1235C22⋊Q8—431no—
1236C22⋊Q8—431no—
1237C22⋊Q8—861no—
1238C22⋊Q8—861no—
1239C22⋊Q8—861no—
1240C22⋊Q8—861no—
1241C22⋊Q8—861no—
1242C22⋊Q8—861no—
1243#121—21no—
1244#121—21no—
1245#121—21no—
1246#121—431no—
1247#121—431no—
1248#121—431no—
1249#121—431no—
1250#121—431no—
1251#121—431no—
1252#121—431no—
1253#121—431no—
1254#121—861no—
1255#121—861no—
1256#121—861no—
1257#121—861no—
1258#121—861no—
1259#121—861no—
1260#121—861no—
1261#121—861no—
1262#121—861no—
1263#121—861no—
1264#121—861no—
1265#121—861no—
1266#121—861no—
1267#121—861no—
1268#121—861no—
1269#121—861no—
1270#121—861no—
1271#121—861no—
1272#121—861no—
1273#121—861no—
1274#121—861no—
1275#121C22×D4311yescharacteristic
1276#121C22×D4311yescharacteristic
1277#121C22×D4311yescharacteristic
1278#121C22×D4311yescharacteristic
1279#120—431no—
1280#120—431no—
1281#120—861no—
1282#120—861no—
1283#120—861no—
1284#120—861no—
1285#120—861no—
1286#120—861no—
1287#120—861no—
1288#120—861no—
1289#120—861no—
1290C4×Q8—431no—
1291C4×Q8—431no—
1292C4×Q8—431no—
1293C4×Q8—861no—
1294C4×Q8—861no—
1295C4×Q8—861no—
1296C4×Q8C22×D4311yescharacteristic
1297C4×D4—21no—
1298C4×D4—431no—
1299C4×D4—431no—
1300C4×D4—431no—
1301C4×D4—431no—
1302C4×D4—431no—
1303C4×D4—431no—
1304C4×D4—861no—
1305C4×D4—861no—
1306C4×D4—861no—
1307C4×D4—861no—
1308C4×D4—861no—
1309C4×D4—861no—
1310C4×D4—861no—
1311C4×D4—861no—
1312C4×D4—861no—
1313C4×D4—861no—
1314C4×D4—861no—
1315C4×D4—861no—
1316C4×D4—861no—
1317C4×D4—861no—
1318C4×D4C22×D4311yescharacteristic
1319C4×D4C22×D4311yescharacteristic
1320#117—21no—
1321#117—431no—
1322#117—431no—
1323#117—431no—
1324#117—431no—
1325#117—431no—
1326#117—431no—
1327#117—861no—
1328#117—861no—
1329#117—861no—
1330#117—861no—
1331#117—861no—
1332#117—861no—
1333#117—861no—
1334#117C22×D4311yescharacteristic
1335#117C22×D4311yescharacteristic
1336C2×C4⋊C4—431no—
1337C2×C4⋊C4—431no—
1338C2×C4⋊C4—431no—
1339C2×C4⋊C4—431no—
1340C2×C4⋊C4—431no—
1341C2×C4⋊C4—861no—
1342C2×C4⋊C4—861no—
1343C2×C22⋊C4—861no—
1344C2×C22⋊C4—861no—
1345C2×C22⋊C4—861no—
1346C2×C22⋊C4—861no—
1347C2×C42—861no—
1348#107—431no—
1349#107—431no—
1350#107—431no—
1351#107—431no—
1352#107C22×D4311yescharacteristic
1353#107C22×D4311yescharacteristic
1354#106—431no—
1355#106—431no—
1356#106—431no—
1357#106—431no—
1358#106—431no—
1359#106C22×D4311yescharacteristic
1360C4⋊C8—431no—
1361C4⋊C8—431no—
1362C4⋊C8—431no—
1363C4⋊C8C22×D4311yescharacteristic
1364#103—431no—
1365#103—431no—
1366#103—431no—
1367#103—431no—
1368#103—431no—
1369#103—431no—
1370#103—431no—
1371#103—431no—
1372#103—431no—
1373#103—431no—
1374#103—431no—
1375#103C22×D4311yescharacteristic
1376#103C22×D4311yescharacteristic
1377#103C22×D4311yescharacteristic
1378#102—431no—
1379#102—431no—
1380#102—431no—
1381#102—431no—
1382#102—431no—
1383#102—431no—
1384#102—431no—
1385#102—431no—
1386#102—431no—
1387#102—431no—
1388#102—431no—
1389#102—431no—
1390#102—431no—
1391#102—431no—
1392#102—431no—
1393#102—431no—
1394#102—431no—
1395#102—431no—
1396#102—431no—
1397#102C22×D4311yescharacteristic
1398#102C22×D4311yescharacteristic
1399#102C22×D4311yescharacteristic
1400#102C22×D4311yescharacteristic
1401#102C22×D4311yescharacteristic
1402#102C22×D4311yescharacteristic
1403#102C22×D4311yescharacteristic
1404C22⋊C8—431no—
1405C22⋊C8—431no—
1406C22⋊C8—431no—
1407C22⋊C8—431no—
1408C22⋊C8—431no—
1409C22⋊C8—431no—
1410C22⋊C8C22×D4311yescharacteristic
1411C22⋊C8C22×D4311yescharacteristic
1412#97—431no—
1413#97—431no—
1414C4×C8—431no—
1415C4×C8C22×D4311yescharacteristic
1416C24—431no—
1417C24—861no—
1418C24—861no—
1419C24—861no—
1420C24—861no—
1421#41—22no—
1422#41—22no—
1423#41—41no—
1424#41—41no—
1425#41—434no—
1426#41—862no—
1427#41—862no—
1428#41—862no—
1429#41—862no—
1430#41—862no—
1431#41—862no—
1432#41—862no—
1433#41—862no—
1434#41—862no—
1435#41—1721no—
1436#41—1724no—
1437#41—1724no—
1438#41—1724no—
1439#41—1721no—
1440C2×Q8—21no—
1441C2×Q8—431no—
1442C2×Q8—431no—
1443C2×Q8—431no—
1444C2×Q8—861no—
1445C2×Q8—861no—
1446C2×Q8—862no—
1447C2×Q8—1721no—
1448C2×Q8C23×D4311yescharacteristic
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—21no—
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—431no—
1458C2×D4—431no—
1459C2×D4—431no—
1460C2×D4—431no—
1461C2×D4—431no—
1462C2×D4—431no—
1463C2×D4—431no—
1464C2×D4—431no—
1465C2×D4—862no—
1466C2×D4—861no—
1467C2×D4—861no—
1468C2×D4—861no—
1469C2×D4—862no—
1470C2×D4—862no—
1471C2×D4—861no—
1472C2×D4—861no—
1473C2×D4—861no—
1474C2×D4—861no—
1475C2×D4—861no—
1476C2×D4—862no—
1477C2×D4—862no—
1478C2×D4—861no—
1479C2×D4—861no—
1480C2×D4—861no—
1481C2×D4—861no—
1482C2×D4—861no—
1483C2×D4—861no—
1484C2×D4—861no—
1485C2×D4—861no—
1486C2×D4—861no—
1487C2×D4—3442no—
1488C2×D4—3442no—
1489C2×D4—3442no—
1490C2×D4—1721no—
1491C2×D4—1724no—
1492C2×D4—1721no—
1493C2×D4—1721no—
1494C2×D4—1724no—
1495C2×D4—1724no—
1496C2×D4—1724no—
1497C2×D4D4×D4311yescharacteristic
1498C2×D4C23×D4311yescharacteristic
1499C2×D4C23×D4311yescharacteristic
1500C2×D4C23×D4311yescharacteristic
1501C22×C4—21no—
1502C22×C4—21no—
1503C22×C4—21no—
1504C22×C4—431no—
1505C22×C4—431no—
1506C22×C4—431no—
1507C22×C4—431no—
1508C22×C4—431no—
1509C22×C4—431no—
1510C22×C4—861no—
1511C22×C4—862no—
1512C22×C4—862no—
1513C22×C4—861no—
1514C22×C4—861no—
1515C22×C4—861no—
1516C22×C4—861no—
1517C22×C4—861no—
1518C22×C4—861no—
1519C22×C4—861no—
1520C22×C4—861no—
1521C22×C4—861no—
1522C22×C4—861no—
1523C22×C4—861no—
1524C22×C4—861no—
1525C22×C4—861no—
1526C22×C4—1724no—
1527C22×C4C23×D4311yescharacteristic
1528C22×C4C23×D4311yescharacteristic
1529Q16—862no—
1530Q16—1721no—
1531SD16—22no—
1532SD16—862no—
1533SD16—1721no—
1534SD16—1721no—
1535SD16—1721no—
1536SD16—1721no—
1537D8—41no—
1538D8—41no—
1539D8—862no—
1540D8—1721no—
1541M16—862no—
1542M16—862no—
1543M16—1721no—
1544M16—1721no—
1545M16—1721no—
1546M16—1721no—
1547C2×C8—41no—
1548C2×C8—41no—
1549C2×C8—431no—
1550C2×C8—431no—
1551C2×C8—431no—
1552C2×C8—431no—
1553C2×C8—862no—
1554C2×C8—862no—
1555C2×C8—1721no—
1556C2×C8—1721no—
1557C2×C8C23×D4311yescharacteristic
1558C2×C8C23×D4311yescharacteristic
1559C2×C8C23×D4311yescharacteristic
1560C2×C8C23×D4311yescharacteristic
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—431no—
1564C4⋊C4—431no—
1565C4⋊C4—431no—
1566C4⋊C4—431no—
1567C4⋊C4—431no—
1568C4⋊C4—431no—
1569C4⋊C4—431no—
1570C4⋊C4—431no—
1571C4⋊C4—431no—
1572C4⋊C4—861no—
1573C4⋊C4—861no—
1574C4⋊C4—861no—
1575C4⋊C4—861no—
1576C4⋊C4—861no—
1577C4⋊C4—861no—
1578C4⋊C4—861no—
1579C4⋊C4—861no—
1580C4⋊C4—861no—
1581C4⋊C4—861no—
1582C4⋊C4—861no—
1583C4⋊C4—861no—
1584C4⋊C4—861no—
1585C4⋊C4—861no—
1586C4⋊C4—861no—
1587C4⋊C4—861no—
1588C4⋊C4—861no—
1589C4⋊C4—861no—
1590C4⋊C4—861no—
1591C4⋊C4D4×D4311yescharacteristic
1592C4⋊C4C23×D4311yescharacteristic
1593C4⋊C4C23×D4311yescharacteristic
1594C4⋊C4C23×D4311yescharacteristic
1595C4⋊C4C23×D4311yescharacteristic
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—431no—
1604C22⋊C4—431no—
1605C22⋊C4—431no—
1606C22⋊C4—431no—
1607C22⋊C4—431no—
1608C22⋊C4—431no—
1609C22⋊C4—431no—
1610C22⋊C4—431no—
1611C22⋊C4—861no—
1612C22⋊C4—861no—
1613C22⋊C4—861no—
1614C22⋊C4—861no—
1615C22⋊C4—861no—
1616C22⋊C4—861no—
1617C22⋊C4—861no—
1618C22⋊C4—861no—
1619C22⋊C4—861no—
1620C22⋊C4—861no—
1621C22⋊C4—861no—
1622C22⋊C4—861no—
1623C22⋊C4—861no—
1624C22⋊C4—861no—
1625C22⋊C4—861no—
1626C22⋊C4—861no—
1627C22⋊C4—861no—
1628C22⋊C4—861no—
1629C22⋊C4—861no—
1630C22⋊C4—861no—
1631C22⋊C4—861no—
1632C22⋊C4—861no—
1633C22⋊C4—861no—
1634C22⋊C4—861no—
1635C22⋊C4D4×D4311yescharacteristic
1636C22⋊C4D4×D4311yescharacteristic
1637C42—21no—
1638C42—21no—
1639C42—21no—
1640C42—431no—
1641C42—861no—
1642C42—861no—
1643C42—861no—
1644C42—861no—
1645C42—861no—
1646C42—861no—
1647C42—861no—
1648C42—861no—
1649C42C23×D4311yescharacteristic
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—431no—
1654C23—431no—
1655C23—431no—
1656C23—862no—
1657C23—861no—
1658C23—861no—
1659C23—3441no—
1660C23—3441no—
1661C23—3441no—
1662C23—3441no—
1663C23—3441no—
1664C23—3441no—
1665C23—3441no—
1666C23—1721no—
1667C23—1721no—
1668C23—1722no—
1669C23—1722no—
1670C23—1722no—
1671C23—1722no—
1672C23—1722no—
1673C23C2×D4×D4311yescharacteristic
1674C23C2×D4×D4311yescharacteristic
1675Q8—21no—
1676Q8—81no—
1677Q8—862no—
1678Q8—861no—
1679Q8—861no—
1680Q8—861no—
1681Q8—861no—
1682Q8—3441no—
1683Q8—1722no—
1684Q8#41×D4312yes—
1685D4—21no—
1686D4—21no—
1687D4—21no—
1688D4—21no—
1689D4—21no—
1690D4—21no—
1691D4—41no—
1692D4—42no—
1693D4—42no—
1694D4—81no—
1695D4—81no—
1696D4—81no—
1697D4—81no—
1698D4—81no—
1699D4—81no—
1700D4—432no—
1701D4—862no—
1702D4—864no—
1703D4—862no—
1704D4—862no—
1705D4—861no—
1706D4—861no—
1707D4—861no—
1708D4—3441no—
1709D4—3441no—
1710D4—3441no—
1711D4—3441no—
1712D4—3441no—
1713D4—3441no—
1714D4—1721no—
1715D4—1722no—
1716D4—1722no—
1717D4—1722no—
1718D4—1722no—
1719D4—1721no—
1720D4—1721no—
1721D4—1722no—
1722D4—1722no—
1723D4—1722no—
1724D4—1722no—
1725D4—1722no—
1726D4—1722no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—42no—
1737C2×C4—42no—
1738C2×C4—81no—
1739C2×C4—431no—
1740C2×C4—432no—
1741C2×C4—432no—
1742C2×C4—431no—
1743C2×C4—431no—
1744C2×C4—431no—
1745C2×C4—431no—
1746C2×C4—862no—
1747C2×C4—864no—
1748C2×C4—862no—
1749C2×C4—862no—
1750C2×C4—861no—
1751C2×C4—861no—
1752C2×C4—861no—
1753C2×C4—861no—
1754C2×C4—861no—
1755C2×C4—861no—
1756C2×C4—861no—
1757C2×C4—861no—
1758C2×C4—861no—
1759C2×C4—861no—
1760C2×C4—3441no—
1761C2×C4—3441no—
1762C2×C4—3441no—
1763C2×C4—3441no—
1764C2×C4—3441no—
1765C2×C4—3441no—
1766C2×C4—3441no—
1767C2×C4—3441no—
1768C2×C4—1722no—
1769C2×C4—1722no—
1770C2×C4—1722no—
1771C2×C4—1722no—
1772C2×C4—1722no—
1773C2×C4C2×D4×D4311yescharacteristic
1774C2×C4C2×D4×D4311yescharacteristic
1775C2×C4C2×D4×D4311yescharacteristic
1776C2×C4C2×D4×D4311yescharacteristic
1777C2×C4C24×D4311yescharacteristic
1778C8—21no—
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—861no—
1783C8—861no—
1784C8—861no—
1785C8—861no—
1786C22—21no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—21no—
1791C22—21no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—432no—
1802C22—861no—
1803C22—861no—
1804C22—861no—
1805C22—862no—
1806C22—861no—
1807C22—861no—
1808C22—861no—
1809C22—861no—
1810C22—861no—
1811C22—3442no—
1812C22—3444no—
1813C22—1721no—
1814C22—1721no—
1815C22—1721no—
1816C22—1721no—
1817C22—1721no—
1818C22—6882no—
1819C22—6882no—
1820C22—6882no—
1821C22C22×D4×D4311yescharacteristic
1822C4—21no—
1823C4—21no—
1824C4—22no—
1825C4—21no—
1826C4—21no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—432no—
1832C4—861no—
1833C4—861no—
1834C4—861no—
1835C4—861no—
1836C4—1721no—
1837C4—1721no—
1838C4—1721no—
1839C4—1721no—
1840C4—1721no—
1841C4—1721no—
1842C4C2×#41×D4311yescharacteristic
1843C4H(5,𝔽2)×D4311yescharacteristic
1844C2—41no—
1845C2—41no—
1846C2—81no—
1847C2—81no—
1848C2—81no—
1849C2—862no—
1850C2—3441no—
1851C2—1721no—
1852C2—1721no—
1853C2—1722no—
1854C2#546×D4311yescharacteristic
1855C2#1914936411yescharacteristic
1856C2#1914937011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3305C2
socleC22×C43C23×D4
hypercenter#3305D43
hypocenterC43#61196
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3305

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #19148306C2semidirect
2. #19148263C2semidirect
3. #19146853C2semidirect
4. #19146841C2semidirect
5. #19146825C2semidirect
6. #19146824C2semidirect
7. #19146757C2semidirect
8. #19146745C2semidirect
9. #19146743C2semidirect
10. #19146742C2semidirect
11. #19146721C2semidirect
12. #19146717C2semidirect
13. #19146658C2semidirect
14. #19146657C2semidirect
15. #19146538C2semidirect
16. #19146433C2semidirect
17. #19146432C2semidirect
18. #19144944C2semidirect
19. #19144587C2semidirect
20. #482×D43C2semidirect
21. #19144443C2semidirect
22. #19144260C2semidirect
23. #19144211C2semidirect
24. #19144129C2semidirect
25. #19143897C2semidirect
26. #19143810C2semidirect
27. #19143473C2semidirect
28. #19143315C2semidirect
29. #19143117C2semidirect
30. #19143110C2semidirect
31. C43×#3305C2semidirect
34. C2×#13063349C22semidirect
36. C2×#13063344C22semidirect
37. C2×#13063331C22semidirect
38. C22×#10621872C22semidirect
39. #14583623C22semidirect
41. #14583617C22semidirect
42. #14583613C22semidirect
44. #14583601C22semidirect
45. #14583599C22semidirect
47. #14583589C22semidirect
48. #14583588C22semidirect
61. #14583526C22semidirect
66. #14583478C22semidirect
71. #14583409C22semidirect
77. #14583379C22semidirect
78. #14583378C22semidirect
79. #117×D43C22semidirect
80. #14583263C22semidirect
81. #14583262C22semidirect
82. #14583261C22semidirect
83. #14583257C22semidirect
84. #14583254C22semidirect
85. #14583252C22semidirect
86. #14583244C22semidirect
87. #14583242C22semidirect
88. #14583240C22semidirect
89. #14583231C22semidirect
90. #14583230C22semidirect
91. #14583226C22semidirect
92. #14583225C22semidirect
93. #14583224C22semidirect
94. #14583223C22semidirect
95. #14583222C22semidirect
96. #14583222C22semidirect
97. #14583221C22semidirect
98. #14583220C22semidirect
99. #14583216C22semidirect
100. #14583215C22semidirect
101. #14583206C22semidirect
102. #14583204C22semidirect
103. #14583202C22semidirect
104. #14583200C22semidirect
105. #14583192C22semidirect
106. #14583178C22semidirect
107. #14583176C22semidirect
108. #14583151C22semidirect
109. #14583149C22semidirect
110. #14583146C22semidirect
111. #14583144C22semidirect
112. #14583144C22semidirect
113. #14583144C22semidirect
114. #14583143C22semidirect
115. #14583143C22semidirect
116. #14583141C22semidirect
117. #14583140C22semidirect
118. #14583133C22semidirect
119. #14583132C22semidirect
120. #14583128C22semidirect
121. #14583126C22semidirect
122. #14583122C22semidirect
123. #14583120C22semidirect
124. #14583114C22semidirect
125. #14583112C22semidirect
126. #14583098C22semidirect
127. #14583096C22semidirect
128. #14583092C22semidirect
129. #14583064C22semidirect
130. #14583063C22semidirect
131. #14583061C22semidirect
132. #14583061C22semidirect
133. #14583056C22semidirect
134. #14583052C22semidirect
135. #14583051C22semidirect
136. #14583051C22semidirect
137. #14583043C22semidirect
138. #14583042C22semidirect
139. #14583036C22semidirect
140. #14583032C22semidirect
141. #14583031C22semidirect
142. #14583031C22semidirect
143. #14583009C22semidirect
144. #14583008C22semidirect
145. #14583004C22semidirect
146. #14583003C22semidirect
147. C4×#10621873C22semidirect
148. SD16×Dic43C22semidirect
149. #14582986C22semidirect
150. #14582978C22semidirect
151. #14582974C22semidirect
152. #14582971C22semidirect
153. #14582970C22semidirect
154. #14582970C22semidirect
155. #14582969C22semidirect
156. (C22⋊D43)⋊C8C22semidirect
157. #14582940C22semidirect
158. #107×D43C22semidirect
159. #106×D43C22semidirect
160. #14582924C22semidirect
161. #14582906C22semidirect
162. #14582906C22semidirect
163. #14582903C22semidirect
164. #14582902C22semidirect
165. #14582902C22semidirect
166. #14582902C22semidirect
167. #14582902C22semidirect
168. #14582900C22semidirect
171. #14582899C22semidirect
172. #14582897C22semidirect
173. #14582897C22semidirect
174. #14582897C22semidirect
175. #14582896C22semidirect
176. #14582895C22semidirect
178. #14582894C22semidirect
179. #14582893C22semidirect
180. #14582892C22semidirect
181. C2×#13063247C22semidirect
182. #102×D43C22semidirect
183. #102×D43C22semidirect
184. #102×D43C22semidirect
185. #14582864C22semidirect
186. C22⋊C8×D43C22semidirect
187. #14582853C22semidirect
188. C43×#555C22semidirect
190. C43×#486C22semidirect
191. C43×#482C22semidirect
192. C43×#482C22semidirect
193. C43×#477C22semidirect
194. C43×#466C22semidirect
195. C43×#466C22semidirect
196. C43×#459C22semidirect
197. C43×#449C22semidirect
198. C43×#449C22semidirect
199. C4×SD16×C43C22semidirect
200. C8×D4×C43C22semidirect
201. C43×#416C22semidirect
202. C43×#416C22semidirect
931. #3305D43semidirect
972. #555C2×D43semidirect
1017. #486C2×D43semidirect
1030. #482C2×D43semidirect
1031. #482C2×D43semidirect
1039. #477C2×D43semidirect
1054. #466C2×D43semidirect
1055. #466C2×D43semidirect
1065. #459C2×D43semidirect
1076. #449C2×D43semidirect
1077. #449C2×D43semidirect
1089. C4×SD16C2×D43semidirect
1097. C8×D4C2×D43semidirect
1122. #416C2×D43semidirect
1123. #416C2×D43semidirect
1131. C43#61196semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#191483062
#191482632
#191468532
#191468412
#191468252
#191468242
#191467572
#191467452
#191467432
#191467422
#191467212
#191467172
#191466582
#191466572
#191465382
#191464332
#191464322
#191449442
#191445872
#482×D432
#191444432
#191442602
#191442112
#191441292
#191438972
#191438102
#191434732
#191433152
#191431172
#191431102
C43×#33052
#6119643